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What is the Least Common Multiple of 58837 and 58855?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 58837 and 58855 is 3462851635.

LCM(58837,58855) = 3462851635

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Least Common Multiple of 58837 and 58855 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58837 and 58855, than apply into the LCM equation.

GCF(58837,58855) = 1
LCM(58837,58855) = ( 58837 × 58855) / 1
LCM(58837,58855) = 3462851635 / 1
LCM(58837,58855) = 3462851635

Least Common Multiple (LCM) of 58837 and 58855 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58837 and 58855. First we will calculate the prime factors of 58837 and 58855.

Prime Factorization of 58837

Prime factors of 58837 are 17, 3461. Prime factorization of 58837 in exponential form is:

58837 = 171 × 34611

Prime Factorization of 58855

Prime factors of 58855 are 5, 79, 149. Prime factorization of 58855 in exponential form is:

58855 = 51 × 791 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 58837 and 58855.

LCM(58837,58855) = 171 × 34611 × 51 × 791 × 1491
LCM(58837,58855) = 3462851635